一类多边际最优输运问题的$c$ -循环单调性的充分性
Sufficiency of $c$-cyclical monotonicity in a class of multimarginal optimal transport problems
摘要：
$c$ -循环单调性是最优输运计划最重要的最优性条件。虽然必要性的证明相对容易，但充分性的证明往往更困难，甚至难以捉摸。我们在这里提出了一种新的方法，我们展示了如何在这个新的框架中得出已知的结果，以及这种方法如何允许在以前无法治疗的情况下证明充分性。
英文摘要：
$c$-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is often more difficult or even elusive. We present here a new approach and we show how known results are derived in this new framework and how this approach allows to prove sufficiency in situations previously not treatable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
